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JEE Main20198 Apr 2019Evening ShiftMathematicsMathematical ReasoningActual

Which one of the following statements is not a tautology?

Options

  1. Ap ∨ q → p ∨ ( ~ q )
  2. Bp ∧ q → ( ~ p ∨ q )
  3. Cp → p ∨ q
  4. Dp ∧ q → p

Correct answer

A. p ∨ q → p ∨ ( ~ q )

Step-by-step solution

Logical Statement p → q is false if and only if p is true and q is false. So, when p is false, q is true, p ∨ q → p ∨ ~ q will be false. Clearly p ∨ q → p ∨ ~ q is not a tautology.

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